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Finding the Third Proportional to 40,211.75 and 87,804.63

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Solution

The third proportional to 40,211.75 and 87,804.63 is: 191,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,211.75 : 87,804.63 = 87,804.63 : x
  2. Step 2: Convert to fraction form
    40,211.75/87,804.63 = 87,804.63/x
  3. Step 3: Cross multiply
    40,211.75x = 87,804.63 × 87,804.63
  4. Step 4: Simplify right side
    40,211.75x = 7,709,653,543.34
  5. Step 5: Solve for x
    x = 7,709,653,543.34/40,211.75
  6. Step 6: Final answer
    x = 191,726.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.